en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 9x^5

Solution

\int 9 x^{5} d x

Solution

\frac{3 x ^{6}}{2} + C

Solution steps

\int 9 x^{5} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 9 \cdot \int x^{5} d x

Apply the Power Rule

= 9 \cdot \frac{x ^{6}}{6}

Simplify

9 \cdot \frac{x ^{6}}{6} : \frac{3 x ^{6}}{2}

= \frac{3 x ^{6}}{2}

Add a constant to the solution

= \frac{3 x ^{6}}{2} + C

Graph

Popular Examples

integral of sin(r^2)

\int sin (r^{2}) d r

integral of cos(2pit)

\int cos (2 π t) d t

(\partial)/(\partial u)(sqrt(u^5+v^7))

\frac{\partial}{\partial u} (u^{5} + v^{7})

(\partial)/(\partial x)(sqrt(y^2+16))

\frac{\partial}{\partial x} (y^{2} + 16)

derivative of (x+1/(x+5))

\frac{d}{d x} (\frac{x + 1}{x + 5})

Frequently Asked Questions (FAQ)

What is the integral of 9x^5 ?
The integral of 9x^5 is (3x^6)/2+C